| First Team Matches | Second Team Matches | Associated with both clubs | Transfers |
| Seasons | Competition | Date | Venue | Results | Wolves Manager | Celtic Manager | Referee | |
| 1889/90 | Friendly | 17 May 1890 | Celtic Park (1) | L | 2-4 | Jack Addenbrooke | x | |
| 1953/54 | Friendly | 14 October 1953 | Molineux | W | 2-0 | Stan Cullis | Jimmy McGrory | x |
| 1954/55 | Friendly | 20 September 1954 | Celtic Park (2) | D | 3-3 | Stan Cullis | Jimmy McGrory | x |
| 1959/60 | Friendly | 12 October 1959 | Celtic Park (2) | W | 2-0 | Stan Cullis | Jimmy McGrory | x |
| 2011/12 | Friendly | 27 July 2011 | Celtic Park (2) | W | 2-0 | Mick McCarthy | Neil Lennon | x |
| 2023/24 | Friendly | 29 July 2023 | Dublin | D | 1-1 | Julen Lopetegui | Brendan Rodgers | x |
